MIFF 发表于 2025-3-21 17:49:03
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Conditional Expectation,step through several special cases, which become increasingly involved, culminating at the general definition of conditional expectation. Many varied examples and exercises are provided to aid the reader’s understanding.choroid 发表于 2025-3-22 05:35:15
Martingale Inequalities and Convergence,… as the results of a series of imperfect observations of some random quantity ξ. As n increases, the accumulated knowledge . about ξ increases and ξ. becomes a better approximation, approaching the observed quantity ξ in the limit.香料 发表于 2025-3-22 11:42:45
Markov Chains,hat makes this model interesting is that the value of ξ.at time . + 1 depends on the past only through the value at time .. This is the Markov property characterizing Markov chains. There are numerous examples of Markov chains, with a multitude of applications.Clumsy 发表于 2025-3-22 13:42:10
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Maximiliano Geier,Esteban Mocskoshe price .(.) can be negative with non-zero probability. Nevertheless, for short times it works well enough, since the probability is negligible. But as . increases, so does the probability that .(.) < 0, and the model departs from reality.sorbitol 发表于 2025-3-23 02:14:59
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